Question

Erin has four shirts (white, blue, red, black) and two pairs of pants (blue and black). She randomly chooses a shirt and a pair of pants. What is the probability that they are the same color?

Answer 1

2 out of 6 bc there are only two matching pairs

Answer 2

The probability is:

`(1)/(4)`

Explanation:

It is given that:

Erin has four shirts (white, blue, red, black)

and two pairs of pants (blue and black).

Let W denote white

B' denote Blue

R denote red

and B denote Black color.

This means that the pair that can be made with the help of the four shirts and 2 pants are:

{WB',WB,B'B',B'B,RB',RB,BB',BB}

Total number of combinations possible=8.

The number of combinations that or same color are: 2

( since BB,B'B' are the two combinations)

Hence,the probability that they are the same color is:

`=(2)/(8)=(1)/(4)`

Hence, the probability is:

`(1)/(4)`